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FOCS
1998
IEEE
13 years 11 months ago
The Shortest Vector in a Lattice is Hard to Approximate to Within Some Constant
We show that approximating the shortest vector problem (in any p norm) to within any constant factor less than p 2 is hard for NP under reverse unfaithful random reductions with i...
Daniele Micciancio
CC
2002
Springer
126views System Software» more  CC 2002»
13 years 7 months ago
On the hardness of approximating the permanent of structured matrices
We show that for several natural classes of "structured" matrices, including symmetric, circulant, Hankel and Toeplitz matrices, approximating the permanent modulo a prim...
Bruno Codenotti, Igor Shparlinski, Arne Winterhof
FOCS
1999
IEEE
13 years 11 months ago
Hardness of Approximating the Minimum Distance of a Linear Code
We show that the minimum distance of a linear code is not approximable to within any constant factor in random polynomial time (RP), unless nondeterministic polynomial time (NP) eq...
Ilya Dumer, Daniele Micciancio, Madhu Sudan
PODS
2007
ACM
203views Database» more  PODS 2007»
14 years 7 months ago
Decision trees for entity identification: approximation algorithms and hardness results
We consider the problem of constructing decision trees for entity identification from a given relational table. The input is a table containing information about a set of entities...
Venkatesan T. Chakaravarthy, Vinayaka Pandit, Samb...
TCS
2002
13 years 7 months ago
MAX3SAT is exponentially hard to approximate if NP has positive dimension
Under the hypothesis that NP has positive p-dimension, we prove that any approximation algorithm A for MAX3SAT must satisfy at least one of the following:
John M. Hitchcock